A cock of justice is cock of all cocks, transcending above other men's cocks. It has gone through the most honorable actions that a cock can go through. Scoring multiple women in a night, etc. Extremely hard to achieve. Only a few percentage of the population may attain the cock of justice. Shortly known as 'coj'

Kevin: Wow, who is that guy with 3 chicks by his side?
Patrick: Oh. He has the cock of justice
Phil (guy with cock of justice): I command the cock of justice

A cock of justice may only be attained through very honorable doings, such as scoring multiple women at one night. A cock of justice may be used to slap an unjust man in the face when he either fails to score a woman under his league or when he does something stupid.

Joe: Man, I just got rejected by that blonde over there.
Me: You deserve a slap from my cock of justice (coj)